106782446780 has 24 divisors (see below), whose sum is σ = 224313283152. Its totient is φ = 42699617792.

The previous prime is 106782446753. The next prime is 106782446857. The reversal of 106782446780 is 87644287601.

It is a super-3 number, since 3×106782446780³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769397 + ... + 897516.

It is an arithmetic number, because the mean of its divisors is an integer number (9346386798).

Almost surely, 2^106782446780 is an apocalyptic number.

106782446780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106782446780 is an abundant number, since it is smaller than the sum of its proper divisors (117530836372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106782446780 is a wasteful number, since it uses less digits than its factorization.

106782446780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670125 (or 1670123 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 106782446780 in words is "one hundred six billion, seven hundred eighty-two million, four hundred forty-six thousand, seven hundred eighty".